[求助]这道题怎么做？与投入产出模型有关

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In the United States, the capital share of GDP is about 30 percent; the average growth in output is about 3 percent per year; the depreciation rate is about 4 percent per year; and the capital–output ratio is about 2.5. Suppose that the production function is Cobb–Douglas, so that the capitalshare in output is constant, and that the United States has been in a steady state.

a. What must the saving rate be in the initial steady state? [Hint: Use the steady-state relationship, sy = (d + n + g)k.] b. What is the marginal product of capital in the initial steady state? c. Suppose that public policy raises the saving rate so that the economy reaches the Golden Rule level of capital. What will the marginal product of capital be at the Golden Rule steady state? Compare the marginal product at the Golden Rule steady state to the marginal product in the initial steady state. Explain. d. What will the capital–output ratio be at the Golden Rule steady state? (Hint: For the Cobb– Douglas production function, the capital–output ratio is related to the marginal product of capital.) e. What must the saving rate be to reach the Golden Rule steady state?

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关键词：投入产出模型 投入产出 入产出 怎么做 relationship function average capital initial percent

1 产出增长率为3%，即n+g=0.03, d=0.04, K/Y=k/y=2.5,代入1得，s=(d+n+g)*k/y=17.5% 2 MP_K=DY/DK=1/2.5=0.4

3 MP_K=d+n+g=0.07

4 资本投入的增长，其边际产出下降

5　最后一问待我再想想。

顶一下，别被遗忘了，最近比较忙，没来得及细想这道题，大家来做做啊，我觉得这题出得不错。

顺便请教楼主题目哪里来的啊？

1、s=(n+g+d)*(k/y)=0.07*2.5=0.175

2、MPK=a/(K/Y)=0.3/2.5=0.12

3、MPKg=n+g+d=0.07（g为下标，下同）

4、(K/Y)g=a/MPKg=0.3/0.07=4.3

5、sg=(n+g+d)*(k/y)g=a=0.3

不知2楼觉得第五问有何不妥？

谢谢版主的解答，基本懂了，但还有一个问题不太明确？
我主要是不太理解第二问的作法。GDP的资本份额是0.3，而资本产出比是2.5，这两个量是个什么关系呢？

资本分额就是MPK*K/Y。

楼主给的题 类似于 索罗模型，但是索罗模型中 没有 d

而且，与 科布-道格拉斯函数 联系在一起

本人学识尚浅，得研究研究

谢谢版主，这下明白了。此题出自曼昆宏观经济学中。

受教了。